Q. 2.103 Solve:聽15n+3=14n+2... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 2: Q. 2.103 (page 259)

$Solve: \frac{1}{5} (n + 3) = \frac{1}{4} (n + 2)$

Short Answer

Expert verified

$Thesolutionforthegivenequaitonisn=2$

Step by step solution

Step 1. Given information

The given equation is $\frac{1}{5} (n + 3) = \frac{1}{4} (n + 2)$

We have to solve the given equation.

Step 2. Explanation

$\begin{array}{l} Solve: \frac{1}{5} (n + 3) = \frac{1}{4} (n + 2) \\ 鈬� \frac{1}{5} 脳 n + \frac{1}{5} 脳 3 = \frac{1}{4} 脳 n + \frac{1}{4} 脳 2 (Distribute) \\ 鈬� \frac{n}{5} + \frac{3}{5} = \frac{n}{4} + \frac{1}{2} (Simplify) \\ MultiplybothsidebytheLCD,20 \\ 鈬� 20 脳 (\frac{n}{5} + \frac{3}{5}) = 20 脳 (\frac{n}{4} + \frac{1}{2}) \\ 鈬� 20 脳 \frac{n}{5} + 20 脳 \frac{3}{5} = 20 脳 \frac{n}{4} + 20 脳 \frac{1}{2} (Distribute) \\ 鈬� 4 n + 12 = 5 n + 10 (Simplify) \\ 鈬� 4 n 鈭� 5 n + 12 = 5 n 鈭� 5 n + 10 (Subtract15nfrombothsides) \\ 鈬� 鈭� n + 12 = 10 (Simplify) \\ 鈬� 鈭� n + 12 鈭� 12 = 10 鈭� 12 (Subtract12frombothsides) \\ 鈬� 鈭� n = 鈭� 2 (Simplify) \\ 鈬� 鈭� \frac{n}{鈭� 1} = \frac{鈭� 2}{鈭� 1} (Dividebothsideby-1) \\ 鈬� n =2(Simplify) \\ Thesolutionforthegivenequaitonisn=2 \end{array}$

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91影视

$Solve: \frac{1}{5} (n + 3) = \frac{1}{4} (n + 2)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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91影视

Solve:15n+3=14n+2

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Logic and Functions

Statistics

Applied Mathematics

Calculus

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

$Solve: \frac{1}{5} (n + 3) = \frac{1}{4} (n + 2)$